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Finding the Fourth Proportional to 23,852.67, 32,914.31 and 13,241.16

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Solution

The fourth proportional to 23,852.67, 32,914.31 and 13,241.16 is: 18,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.67 : 32,914.31 = 13,241.16 : x
  2. Step 2: Convert to fraction form
    23,852.67/32,914.31 = 13,241.16/x
  3. Step 3: Cross multiply
    23,852.67x = 32,914.31 × 13,241.16
  4. Step 4: Simplify right side
    23,852.67x = 435,823,578.79
  5. Step 5: Solve for x
    x = 435,823,578.79/23,852.67
  6. Step 6: Final answer
    x = 18,271.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.